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Differential forms, open-closed maps, and Gromov-Witten axioms
Published 7 Sep 2025 in math.SG, hep-th, and math.AG | (2509.06034v1)
Abstract: We construct open-closed maps on various versions of Hochschild and cyclic homology of the Fukaya $A_\infty$ algebra of a Lagrangian submanifold modeled on differential forms. The $A_\infty$ algebra may be curved. Properties analogous to Gromov-Witten axioms are verified. The paper is written with applications in mind to gravitational descendants and obstruction theory.
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